Publications

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Link for Books.

Journal Papers:

W. Han, F. Feng, F. Wang, and J. Huang, Numerical analysis of hemivariational inequalities with applications in contact mechanics, Advances in Applied Mechanics, Vol. 60 (2025) (invited contribution).
F. Jing, W. Han, and G. Zhou, Numerical analysis of a class of hemivariational inequalities governed by the coupled fluid-fluid flow, Nonlinear Analysis: Real World Applications, Vol. 85 (2025), article number 104366.
W. Xu, W. Han, T. Li, and Z. Huang, Well-posedness of a class of evolutionary variational-hemivariational inequalities in contact mechanics, Journal of Computational and Applied Mathematics Vol. 459 (2025), article number 116366.

B. Wu, F. Wang, and W. Han, The virtual element method for a contact problem with wear and unilateral constraint, Applied Numerical Mathematics, Vol. 206 (2024), 29-47.
W. Han and M. Sofonea, Analysis and control of a general elliptic quasivariational-hemivariational inequality, in the special issue ``Set-valued Analysis, Vector and Set Optimization, and Variational Inequalities'' of Minimax Theory and its Applications, Vol. 9 (2024), 253-270 (invited contribution).
W. Wang, X.-L. Cheng, and W. Han, Stability analysis and optimal control of a stationary Navier-Stokes hemivariational inequality with numerical approximation, Discrete and Continuous Dynamical Systems, Volume 44 (2024), 2309-2326.
L. Ding and W. Han, $\alpha\ell_1-\beta\ell_2$ sparsity regularization for nonlinear ill-posed problems, Journal of Computational and Applied Mathematics, Vol. 450 (2024), article number 115987.
W. Han and F. Jing, Numerical analysis of a steady Oseen flow problem with frictional type boundary conditions, in Nonsmooth Problems with Applications in Mechanics, eds. S. Migorski and M. Sofonea, Banach Center Publications, Volume 127 (2024), 147-165.
W. Han and Y. Yao, On well-posedness of Navier-Stokes variational inequalities, Applied Mathematics Letters, Vol. 155 (2024), article number 109121.
M. Ling, W. Xiao, and W. Han, Numerical analysis of a history-dependent mixed hemivariational-variational ineqaulity in contact problems, Computers and Mathematics with Applications, Vol. 166 (2024), 65-76.
W. Han, H. Qiu, and L. Mei, On a Stokes hemivariational inequality for incompressible fluid flows with damping, Nonlinear Analysis: Real World Applications, Vol. 79 (2024), article number 104131.
F. Jing, W. Han, K. Takahito, and W. Yan, On finite volume methods for a Navier-Stokes variational inequality, Journal of Scientific Computing, Vol. 98 (2024), article number 31.

W. Han, F. Jing, and Y. Yao, Stabilized mixed finite element methods for a Navier--Stokes hemivariational inequality, BIT Numerical Mathematics, Vol. 63 (2023), article number 46.
W. Han, On a new class of mixed hemivariational-variational inequalities, Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications, Vol. 15 (2023), 331-352 (invited contribution).
S. Zeng, S. Migorski, and W. Han, A new class of fractional differential hemivariational inequalities with application to an incompressible Navier-Stokes system coupled with a fractional diffusion equation, Izvestiya: Mathematics, Vol. 87 (2023), 326-361.
W. Han and M. Nashed, On variational-hemivariational inequalities in Banach spaces, Communications in Nonlinear Science and Numerical Simulation (CNSNS), Vol. 124 (2023), 107309.
W. Han, M. Ling, and F. Wang, Numerical solution of an H(curl)-elliptic hemivariational inequality, IMA Journal of Numerical Analysis, Vol. 43 (2023), 976-1000.
L. Ding and W. Han, Morozov's discrepancy principle for $\alpha\ell_1-\beta\ell_2$ sparsity regularization, Inverse Problems and Imaging, Vol. 17 (2023), 157-179.
X. Guo, W. Han, and J. Ren, Design of a prediction system based on the dynamical feed-forward neural network, Science China: Information Sciences, Vol. 66 (2023), 112102:1-112102:17.

W. Han and M. Sofonea, Numerical analysis of a general elliptic variational-hemivariational inequality, in the special issue ``Variational and Hemivariational Inequalities with Applications'' of Journal of Nonlinear and Variational Analysis, Vol. 6 (2022), 517-534 (invited contribution).
M. Ling, W. Han, and S. Zeng, A pressure projection stabilized mixed finite element method for a Stokes hemivariational inequality, Journal of Scientific Computing, Vol. 92 (2022), article number 13.
Y. Qian, F. Wang, Y. Zhang, and W. Han, A mixed discontinuous Galerkin method for an unsteady incompressible Darcy equation, Applicable Analysis, Vol. 101 (2022), 1176-1198.
W. Han and A. Matei, Well-posedness of a general class of elliptic mixed hemivariational-variational inequalities, Nonlinear Analysis: Real World Applications, Vol. 66 (2022), 103553.
F. Feng, W. Han, and J. Huang, A nonconforming virtual element method for a fourth-order hemivariational inequality in Kirchhoff plate problem, Journal of Scientific Computing, Vol. 90 (2022), article number 89.
B. Wu, F. Wang, and W. Han, Virtual element method for a frictional contact problem with normal compliance, Communications in Nonlinear Science and Numerical Simulation (CNSNS) (invited contribution), Vol. 107 (2022), 106125.
M. Sofonea and W. Han, Minimization arguments in analysis of variational-hemivartiational inequalities, Zeitschrift f\"{u}r Angewandte Mathematik und Physik (ZAMP), Vol. 73 (2022), article number 6.
W. Han and A. Matei, Minimax principles for elliptic mixed hemivariational-variational inequalities, Nonlinear Analysis: Real World Applications, Vol. 64 (2022), 103448.

W. Xu, C. Wang, M. He, W. Chen, W. Han, and Z. Huang, Numerical analysis of doubly-history dependent variational inequalities in contact mechanics, Fixed Point Theory and Algorithms for Sciences and Engineering (invited contribution), Vol. 2021 (2021), article number 24.
M. Ling and W. Han, Well-posedness analysis of a stationary Navier-Stokes hemivariational inequality, Fixed Point Theory and Algorithms for Sciences and Engineering (invited contribution), Vol. 2021 (2021), article number 22.
W. Han, C. Song, F. Wang, and J. Gao, Numerical analysis of the diffusive-viscous wave equation, Computers and Mathematics with Applications, Vol. 102 (2021), 54-64.
W. Han, K. Czuprynski, and F. Jing, Mixed finite element method for a hemivariational inequality of stationary Navier-Stokes equations, Journal of Scientific Computing, Vol. 89 (2021), article number 8.
F. Feng, W. Han, and J. Huang, The virtual element method for an obstacle problem of a Kirchhoff plate, Communications in Nonlinear Science and Numerical Simulation (CNSNS) (invited contribution), Vol. 103 (2021), Article 106008.
M. Ling and W. Han, Minimization principle in study of a Stokes hemivariational inequality, Applied Mathematics Letters, Vol. 121 (2021), article number 107401.
W. Han, A revisit of elliptic variational-hemivariational inequalities, Numerical Functional Analysis and Optimization, Vol. 42 (2021), 371-395.
W. Han and C. Wang, Numerical analysis of a parabolic hemivariational inequality for semipermeable media, Journal of Computational and Applied Mathematics, Vol. 389 (2021), article number 113326.
S. Migorski, W. Han, and S. Zeng, A new class of hyperbolic variational-hemivariational inequalities driven by nonlinear evolution equations, European Journal of Applied Mathematics, Vol. 32 (2021), 59-88.
F. Wang, B. Wu, and W. Han, The virtual element method for general elliptic hemivariational inequalities, Journal of Computational and Applied Mathematics, Vol. 389 (2021), article number 113330.
F. Feng, W. Han, and J. Huang, Virtual element method for elliptic hemivariational inequalities with a convex constraint, Numerical Mathematics: Theory, Methods and Applications, Vol. 14 (2021), 589-612.
L. He, W. Han, and F. Wang, On a family of discontinuous Galerkin fully-discrete schemes for the wave equation, Computational and Applied Mathematics, Vol. 40 (2021), article number 56.
L. He, W. Han, F. Wang, and W. Cai, Unconditional stability and optimal error estimates of DG methods for wave equation, Applicable Analysis, Vol. 100 (2021), 1143-1157.

W. Xu, Z. Huang, W. Han, W. Chen, and C. Wang, Numerical approximation of an electro-elastic frictional contact problem modeled by hemivariational inequality, Computational and Applied Mathematics, Vol. 39 (2020), No.\ 4, Paper No.\ 265, 23 pp.
W. Han, Singular perturbations of variational-hemivariational inequalities, SIAM Journal on Mathematical Analysis, Vol. 52 (2020), 1549-1566.
S. Wang, W. Xu, W. Han, and W. Chen, Numerical analysis of history-dependent variational-hemivariational inequalities, Science China: Mathematics, Vol. 63 (2020), 2207-2232.
W. Han, M. Jureczka, and A. Ochal, Numerical studies of a hemivariational inequality for a viscoelastic contact problem with damage, Journal of Computational and Applied Mathematics, Vol. 377 (2020), 112886.
D. Han, W. Han, S. Migorski, and J. Zhao, Convergence analysis of numerical solutions for optimal control of variational-hemivariational inequalities, Applied Mathematics Letters, Vol. 105 (2020), 106327.
W. Han, Minimization principles for elliptic hemivariational inequalities, Nonlinear Analysis: Real World Applications, Vol. 54 (2020), 103114.
F. Jing, W. Han, Y. Zhang, and W. Yan, Analysis of an a posteriori error estimator for a variational inequality governed by the Stokes equations, Journal of Computational and Applied Mathematics, Vol. 372 (2020), 112721.
D. Han, W. Han, M. Jureczka, and A. Ochal, Numerical analysis of a contact problem with wear, Computers and Mathematics with Applications, Vol. 79 (2020), 2942-2951.
H. Xuan, X. Cheng, W. Han, and Q. Xiao, Numerical analysis of a dynamic contact problem with history-dependent operators, Numerical Mathematics: Theory, Methods and Applications, Vol. 13 (2020), 569-594.
F. Wang, M. Ling, W. Han, and F. Jing, Adaptive discontinuous Galerkin methods for solving anincompressible Stokes flow problem with slip boundary condition of frictional type, Journal of Computational and Applied Mathematics, Vol. 371 (2020), 112700.
C. Fang and W. Han, Stability analysis and optimal control of a stationary Stokes hemivariational inequality, Evolution Equations and Control Theory (invited contribution), Vol. 9 (2020), 995-1008.
C. Fang, K. Czuprynski, W. Han, X.L. Cheng, and X. Dai, Finite element method for a stationary Stokes hemivariational inequality with slip boundary condition, IMA Journal of Numerical Analysis, Vol. 40 (2020), 2696-2716.
M. Ling, F. Wang, and W. Han, The nonconforming Virtual Element Method for a stationary Stokes hemivariational inequality with slip boundary condition, Journal of Scientific Computing, Vol. 85 (2020), article number 56.
L. Ding and W. Han, A projected gradient method for $\alpha\ell_1-\beta\ell_2$ sparsity regularization, Inverse Problems, Vol. 36 (2020), 125012 (30pp).
R.F. Gong, P. Yu, Q. Jin, X.-L. Cheng, and W. Han, Solving a nonlinear inverse Robin problem through a linear Cauchy problem, Applicable Analysis, Vol. 99 (2020), 2093-2114.

W. Han and M. Sofonea, Convergence of penalty based numerical methods for variational inequalities and hemivariational inequalities, Numer. Math., Vol. 142 (2019), 917--940.
W. Han and M. Sofonea, Numerical analysis of hemivariational inequalities in contact mechanics, Acta Numerica, Vol. 28 (2019), 175--286.
D. Han and W. Han, Numerical analysis of an evolutionary variational-hemivariational inequality with application to a dynamic contact problem, Journal of Computational and Applied Mathematics, Vol. 358 (2019), 163--178.
W. Han and Y. Li, Stability analysis of stationary variational and hemivariational inequalities with applications, Nonlinear Analysis: Real World Applications, Vol. 50 (2019), 171--191.
M. Barboteu, W. Han, and S. Migorski, On numerical approximation of a variational--hemivariational inequality modeling contact problems for locking, Computers and Mathematics with Applications (invited contribution), Vol. 77 (2019), 2894--2905.
W. Xu, Z. Huang, W. Han, W. Chen, and C. Wang, Numerical analysis of history-dependent hemivariational inequalities and applications to viscoelastic contact problems with normal penetration, Computers and Mathematics with Applications, Vol. 77 (2019), 2596--2607.
W. Han, S. Migorski, and M. Sofonea, On penalty method for unilateral contact problem with non-monotone contact condition, Journal of Computational and Applied Mathematics, Vol. 356 (2019), 293--301.
W. Han and S. Zeng, On convergence of numerical methods for variational-hemivariational inequalities under minimal solution regularity, Applied Mathematics Letters, Vol. 93 (2019), 105--110.
W. Han, Z. Huang, C. Wang, and W. Xu, Numerical analysis of elliptic hemivariational inequalities for semipermeable media, Journal of Computational Mathematics, Vol. 37 (2019), 543--560.
W. Xu, Z. Huang, W. Han, W. Chen, and C. Wang, Numerical analysis of history-dependent variational-hemivariational inequalities with applications in contact mechanics, Journal of Computational and Applied Mathematics, Vol. 351 (2019), 364--377.
F. Feng, W. Han, and J. Huang, Virtual element method for elliptic hemivariational inequalities, Journal of Scientific Computing, Vol. 81 (2019), 2388--2412.
F. Feng, W. Han, and J. Huang, Virtual element methods for elliptic variational inequalities of the second kind, Journal of Scientific Computing, Vol. 80 (2019), 60--80.
F. Wang and W. Han, Discontinuous Galerkin methods for solving a hyperbolic variational inequality, Numerical Methods for Partial Differential Equations, Vol. 35 (2019), 894--915.
W. Han, L. He, and F. Wang, Optimal order error estimates for discontinuous Galerkin methods for the wave equation, Journal of Scientific Computing, Vol. 78 (2019), 121--144.
F. Wang, T. Zhang, and W. Han, $C^0$ discontinuous Galerkin methods for a Kirchhoff plate contact problem, Journal of Computational Mathematics, Vol. 37 (2019), 184--200.
F. Wang and W. Han, Reliable and efficient a posteriori error estimates of DG methods for a simplified frictional contact problem, International Journal of Numerical Analysis and Modeling, Vol. 16 (2019), 49--62.
L. Ding and W. Han, Sparsity regularization with $\alpha\ell_1-\beta\ell_2$ constraints, Inverse Problems, Vol. 35 (2019), 125009 (26pp).

W. Han, M. Sofonea, and D. Danan, Numerical analysis of stationary variational-hemivariational inequalities, Numer. Math., Vol. 139 (2018), 563--592.
M. Sofonea, S. Migorski, and W. Han, A penalty method for history-dependent variational-hemivariational inequalities, Computers and Mathematics with Applications, Vol. 75 (2018), 2561--2573.
W. Han, Numerical analysis of stationary variational-hemivariational inequalities with applications in contact mechanics, Mathematics and Mechanics of Solids (invited contribution), Vol. 23 (2018), 279--293, special issue on Inequality Problems in Contact Mechanics.
W. Xiao, F. Wang, and W. Han, Discontinuous Galerkin methods for solving a frictional contact problem with normal compliance, Numerical Functional Analysis and Optimization, Vol. 39 (2018), 1248--1264.
F. Jing, W. Han, W. Yan, and F. Wang, Discontinuous Galerkin finite element methods for a stationary Navier-Stokes problem with a nonlinear slip boundary condition of friction type, Journal of Scientific Computing, Vol. 76 (2018), 888--912.
R.F. Gong, X.L. Cheng, and W. Han, A homotopy method for bioluminescence tomography, Inverse Problems in Science & Engineering, Vol. 26 (2018), 398--421.

W. Han, M. Sofonea, and M. Barboteu, Numerical analysis of elliptic hemivariational inequalities , SIAM J. Numer. Anal., Vol. 55 (2017), 640--663.
M. Barboteu, K. Bartosz, and W. Han, Numerical Analysis of an Evolutionary Variational--Hemivariational Inequality with Application in Contact Mechanics, Computer Methods in Applied Mechanics and Engineering, Vol. 318 (2017), 882--897.
W. Han, S. Migorski, and M. Sofonea, Analysis of a General Dynamic History-dependent Variational-Hemivariational Inequality, Nonlinear Analysis: Real World Applications, Vol. 36 (2017), 69--88.
J. Gao, B. Zhang, W. Han, J. Peng, and Z. Xu, A new approach for extracting the amplitude spectrum of the seismic wavelet from the seismic traces, Inverse Problems, Vol. 33 (2017), 085005 (16pp). Highlight paper of the journal in 2017.
R.F. Gong, X.L. Cheng, and W. Han, A coupled complex boundary method for an inverse conductivity problem with one measurement, Applicable Analysis, Vol. 96 (2017), 869--885.
J. Tang, B. Han, W. Han, B. Bi, and L. Li, Mixed total variation and $L^1$ regularization method for optical tomography based on radiative transfer equation, Computational and Mathematical Methods in Medicine, Vol. 2017 (2017), Article ID 2953560, 15 pages.
W. Han, F. Long, W.X. Cong, X. Intes, and G. Wang, Radiative transfer with delta-Eddington-type phase functions, Applied Mathematics and Computation, Vol. 300 (2017), 70--78.

C. Fang and W. Han, Well-posedness and optimal control of a hemivariational inequality for nonstationary Stokes fluid flow, Discrete and Continuous Dynamical Systems, Series A, Vol. 36 (2016), 5369--5386.
C. Fang, W. Han, S. Migorski, and M. Sofonea, A class of hemivariational inequalities for nonstationary Navier-Stokes equations, Nonlinear Analysis: Real World Applications, Vol. 31 (2016), 257--276.
X.L. Cheng, R.F. Gong, and W. Han, A coupled complex boundary method for the Cauchy problem, Inverse Problems in Science & Engineering, Vol. 24 (2016), 1510--1527.
R.F. Gong, J. Eichholz, X.L. Cheng, and W. Han, Analysis of a numerical method for radiative transfer based bioluminescence tomography, special issue on medical imaging, Journal of Computational Mathematics (invited contribution), Vol. 34 (2016), 648--670.
C. Wang, Q. Sheng, and W. Han, A discrete-ordinate discontinuous-streamline diffusion method for the radiative transfer equation, Communications in Computational Physics (CiCP), Vol. 20 (2016), 1443--1465.
Q. Sheng, C. Wang, and W. Han, An optimal cascadic multigrid method for the radiative transfer equation, Journal of Computational and Applied Mathematics, Vol. 303 (2016), 189--205.
R.F. Gong, X.L. Cheng, and W. Han, A new coupled complex boundary method for bioluminescence tomography, Communications in Computational Physics (CiCP), Vol. 19 (2016), 226--250.

M. Sofonea, W. Han, and S. Migorski, Numerical analysis of history-dependent variational–hemivariational inequalities with applications to contact problems, European Journal of Applied Mathematics, Vol. 26 (2015), 427--452.
M. Barboteu, K. Bartosz, W. Han, and T. Janiczko, Numerical analysis of a hyperbolic hemivariational inequality arising in dynamic contact, SIAM Journal on Numerical Analysis, Vol. 53 (2015), 527--550.
F. Wang, W. Han, J. Eichholz, and X.-L. Cheng, A posteriori error estimates for discontinuous Galerkin methods of obstacle problems, Nonlinear Analysis Series B: Real World Applications (invited contribution), Vol. 22 (2015), 664--679.
X.L. Cheng, R.F. Gong, and W. Han, A new Kohn-Vogelius type formulation for inverse source problems, Inverse Problems and Imaging, Vol. 9 (2015), 1051--1067.
W. Han, A Posteriori Error Analysis in Radiative Transfer, Applicable Analysis, Vol. 94 (2015), 2517--2534.
B. Bi, B. Han, W. Han, J. Tang, and L. Li, Image reconstruction for diffuse optical tomography based on radiative transfer equation , Computational and Mathematical Methods in Medicine, Vol. 2015 (2015), Article ID 286161, 23 pages.

W. Han, S. Migorski, and M. Sofonea, A class of variational-hemivariational inequalities with applications to elastic contact problems, SIAM Journal on Mathematical Analysis, Vol. 46 (2014), 3891--3912.
K. Kazmi, M. Barboteu, W. Han, and M. Sofonea, Numerical analysis of history-dependent quasivariational inequalities with applications in contact mechanics, ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 48 (2014), 919--942.
F. Wang, W. Han, and X.-L. Cheng, Discontinuous Galerkin methods for solving a quasistatic contact problem, Numer. Math., Vol. 126 (2014), 771--800.
X.L. Cheng, R.F. Gong, W. Han, and X. Zheng, A novel coupled complex boundary method for inverse source problems, Inverse Problems, Vol. 30 (2014), 055002 (20 pp).
R.F. Gong, X.L. Cheng, and W. Han, A fast solver for an inverse problem arising in bioluminescence tomography, Journal of Computational and Applied Mathematics, Vol. 267 (2014), 228--243.
W. Han, R.F. Gong, and X.L. Cheng, A general framework for integration of bioluminescence tomography and diffuse optical tomography, Inverse Problems in Science & Engineering, Vol. 22 (2014), 458--482.

M. Barboteu, K. Kazmi, M. Sofonea, and W. Han, Analysis of a dynamic electro-elastic problem, Zeitschrift fur Angewandte Mathematik und Mechanik (ZAMM), Vol. 93 (2013), 612--632.
M. Sofonea, W. Han, and M. Barboteu, Analysis of a viscoelastic contact problem with multivalued normal compliance and unilateral constraint, Computer Methods in Applied Mechanics and Engineering, Vol. 264 (2013), 12--22.
F. Wang and W. Han, Another view for a posteriori error estimates for variational inequalities of the second kind, Applied Numerical Mathematics, Vol. 72 (2013), 225--233.
J. Tang, W. Han, and B. Han, A theoretical study for RTE based parameter identification problems, Inverse Problems, Vol. 29 (2013), 095002 (18pp).
Q. Sheng and W. Han, Well-posedness of the Fokker-Planck Equation in a Scattering Process , Journal of Mathematical Analysis and Applications, Vol. 406 (2013), 531--536.
W. Han, R.F. Gong, and X.L. Cheng, A general framework for integration of bioluminescence tomography and diffuse optical tomography , Inverse Problems in Science and Engineering, Vol. 22 (2013), 458--482.
W. Han, Y. Li, Q. Sheng, and J. Tang, A numerical method for generalized Fokker-Planck equations , Contemporary Mathematics (invited contribution), Vol. 586 (2013), 171-179, AMS.
W. Han, J. Eichholz, and Q. Sheng, Theory of Differential Approximations of Radiative Transfer Equation , in G.A. Anastassiou and O. Duman (eds.), Advances in Applied Mathematics and Approximation Theory (invited contribution), Springer Proceedings in Mathematics and Statistics 41, 2013.

M. Sofonea, K. Kazmi, M. Barboteu, and W. Han, Analysis and numerical solution of a piezoelectric frictional contact problem, Applied Mathematical Modelling, Vol. 36 (2012), 4483--4501.
W. Han, J. Eichholz, and G. Wang, On a family of differential approximations of the radiative transfer equation , J. Math. Chem., Vol. 50 (2012), 689--702.

F. Wang, W. Han, and X.-L. Cheng, Discontinuous Galerkin methods for solving the Signorini problem, IMA Journal of Numerical Analysis, Vol. 31 (2011), 1754--1772.
W. Han, J. Eichholz, X.-L. Cheng, and G. Wang, A theoretical framework of x-ray dark-field tomography , SIAM J. Applied Math., Vol. 71 (2011), 1557--1577.
W. Han, J. Eichholz, J. Huang, and J. Lu, RTE based bioluminescence tomography: a theoretical study, Inverse Problems in Science and Engineering, Vol. 19 (2011), 435--459.

F. Wang, W. Han, and X.-L. Cheng, Discontinuous Galerkin methods for solving elliptic variational inequalities, SIAM Journal on Numerical Analysis, Vol. 48 (2010), 708--733.
J. Huang, X. Huang, and W. Han, A new $C^0$ discontinuous Galerkin method for Kirchhoff plates, Computer Methods in Applied Mechanics and Engineering, Vol. 199 (2010), 1446--1454.
W. Han, J. Huang, and J. A. Eichholz, Discrete-ordinate discontinuous Galerkin methods for solving the radiative transfer equation, SIAM Journal on Scientific Computing, Vol. 32 (2010), 477--497.
R.F. Gong, G. Wang, X.L. Cheng, and W. Han, A novel approach for studies of multispectral bioluminescence tomography, Numerische Mathematik, Vol. 115 (2010), 553--583.
R.F. Gong, X.L. Cheng, and W. Han, Bioluminescence tomography for media with spatially varying refractive index, Inverse Problems in Science and Engineering, Vol. 18 (2010), 295--312.
R.F. Gong, X.L. Cheng, and W. Han, Theoretical analysis and numerical realization of bioluminescence tomography, special issue on Applied Mathematics and Approximation Theory, Journal of Concrete and Applicable Mathematics, Vol. 8 (2010), 504--527.

W. Han, H. Yu, and G. Wang, A total variation minimization theorem for compressed sensing based tomography, International Journal of Biomedical Imaging, Vol. 2009 (2009), Article ID 125871. doi:10.1155/2009/125871.
X.P. Lian, X.L. Cheng, and W. Han, Two algorithms for two-phase Stefan type problems, Appl. Math. J. Chinese Univ., Vol. 24 (2009), 298-308.
W. Han, H. Shen, K. Kazmi, W.X. Cong, and G. Wang, Studies of a mathematical model for temperature-modulated bioluminescence tomography, Applicable Analysis, Vol. 88 (2009), 193--213. DOI: 10.1080/00036810802713834.
X.L. Cheng, R.F. Gong, and W. Han, Numerical approximation of bioluminescence tomography based on a new formulation, Journal of Engineering Mathematics, Vol. 63 (2009), 121--133.

W. Han, W.X. Cong, K. Kazmi, and G. Wang, An integrated solution and analysis of bioluminescence tomography and diffuse optical tomography, a special issue of Communications in Numerical Methods in Engineering, Vol. 25 (2008), 639--656.
W. Han and G. Wang, Bioluminescence tomography: biomedical background, mathematical theory, and numerical approximation, Journal of Computational Mathematics (invited contribution), Vol. 26 (2008), 324--335.
X.L. Cheng, R.F. Gong, and W. Han, A new general mathematical framework for bioluminescence tomography, Computer Methods in Applied Mechanics and Engineering, Vol. 197 (2008), 524--535.
Y. Chen, J. Huang, and W. Han, Function reconstruction from noisy local averages, Inverse Problems 24 (2008), 025003, 14 pages.
J. Lu, J. Qian, and W. Han, Discrete gradient method in solid mechanics, International Journal for Numerical Methods in Engineering, Vol. 74 (2008), 619--641.

W. Han, M. Sofonea, and K. Kazmi, A frictionless contact problem for electro-elastic-visco-plastic materials, Computer Methods in Applied Mechanics and Engineering, Vol. 196 (2007), 3915--3926.
W. Han and M. Sofonea, On a dynamic contact problem for elastic-visco-plastic materials, Applied Numerical Mathematics, Vol. 57 (2007), 498--509. DOI (digital object identifier) information: 10.1016/j.apnum.2006.07.003.
W. Han, K. Kazmi, W.X. Cong, and G. Wang, Bioluminescence tomography with optimized optical parameters , Inverse Problems, Vol. 23 (2007), 1215--1228.
W. Han and G. Wang, Theoretical and numerical analysis on multispectral bioluminescence tomography , IMA Journal of Applied Mathematics, Vol. 72 (2007), 67--85.
W. Han, J. Huang, K. Kazmi, and Y. Chen, A numerical method for a Cauchy problem for elliptic partial differential equations, Inverse Problems, Vol. 23 (2007), 2401--2415.

W. Han, D.-Y. Hua, and L.-H. Wang, Nonconforming finite element methods for a clamped plate with elastic unilateral obstacle, special issue of Journal of Integral Equations and Applications honoring Ken Atkinson, Vol. 18 (2006), 267--284.
V. Bostan and W. Han, A posteriori error analysis for a contact problem with friction, Computer Methods in Applied Mechanics and Engineering, Vol. 195 (2006), 1252--1274.
W. Han, W.X. Cong, and G. Wang, Mathematical study and numerical simulation of multispectral bioluminescence tomography , International Journal of Biomedical Imaging, Vol. 2006 (2006), doi:10.1155/IJBI/2006/54390.
W. Han, W.X. Cong, and G. Wang, Mathematical theory and numerical analysis of bioluminescence tomography , Inverse Problems, Vol. 22 (2006), 1659--1675. Highlight paper of the journal in 2006.

M. Campo, J. Fern\'andez, W. Han, and M. Sofonea, A dynamic viscoelastic contact problem with normal compliance and damage, Finite Elements in Analysis and Design, Vol. 42 (2005), 1--24.
W. Han and K. Kazmi, Internal approximation of obstacle problems, special issue of Bull. Math. Soc. Sc. Math. Roumanie, Vol. 48 (2005), No. 2, 199--210.
V. Bostan, W. Han, and B.D. Reddy, A posteriori error estimation and adaptive solution of elliptic variational inequalities of the second kind, Applied Numerical Mathematics, Vol. 52 (2005), 13--38.
W. Han and W.K. Liu, Flexible piecewise approximations based on partition of unity, special issue of Advances in Computational Mathematics, Vol. 23 (2005), 191--199.

V. Bostan and W. Han, Recovery-based error estimation and adaptive solution of elliptic variational inequalities of the second kind, Communications in Mathematical Sciences, Vol. 2 (2004), 1--18.
K. Atkinson and W. Han, On the numerical solution of some semilinear elliptic problems, Electronic Transactions on Numerical Analysis, Vol. 17 (2004), 206--217.
S. Li, H. Lu, W. Han, W.K. Liu, and D.C. Simkins, Reproducing kernel element method: Part II. Global conforming I^m/C^n hierarchy, Computer Methods in Applied Mechanics and Engineering, Vol. 193 (2004), 953--987.
W.K. Liu, W. Han, H. Lu, S. Li, and J. Cao, Reproducing kernel element method: Part I. Theoretical formulation, Computer Methods in Applied Mechanics and Engineering, Vol. 193 (2004), 933--951.

J. Fern\'andez, W. Han, and M. Sofonea, Numerical analysis of a frictionless viscoelastic contact problem with normal compliance, special issue of Annals of University of Craiova, Vol. 30 (2003), 97--105.
O. Chau, J. Fern\'andez, W. Han, and M. Sofonea, Variational and numerical analysis of a dynamic frictionless contact problem with adhesion, Journal of Computational and Applied Mathematics, Vol. 156 (2003), 127--157.
X. Cheng and W. Han, Inexact Uzawa algorithms for variational inequalities of the second kind, Computer Methods in Applied Mechanics and Engineering, Vol. 192 (2003), 1451--1462.
J.S. Chen, W. Han, Y. You, and X. Meng, A reproducing kernel method with nodal interpolation property, International Journal for Numerical Methods in Engineering, Vol. 56 (2003), 935-960.

W. Han and L.H. Wang, Non-conforming finite element analysis for a plate contact problem, SIAM Journal on Numerical Analysis, Vol. 40 (2002), 1683--1697.
O. Chau, J. Fern\'andez, W. Han, and M. Sofonea, A frictionless contact problem for elastic-viscoplastic materials with normal compliance and damage, Computer Methods in Applied Mechanics and Engineering, Vol. 191 (2002), 5007--5026.
M. Barboteu, W. Han, and M. Sofonea, Numerical analysis of a bilateral frictional contact problem for linearly elastic materials, IMA Journal of Numerical Analysis, Vol. 22 (2002), 407--436.
O. Chau, W. Han, and M. Sofonea, A dynamic frictional contact problem with normal damped response, Acta Applicandae Mathematicae, Vol. 71 (2002), 159--178.
M. Barboteu, W. Han, and M. Sofonea, A frictionless contact problem for viscoelastic materials, Journal of Applied Mathematics, Vol. 2 (2002), 1--21.
W. Han, L. Kuttler, M. Shillor, and M. Sofonea, Elastic beam in adhesive contact, Int. J. Solids and Structures, Vol. 39 (2002), 1145--1164.
W. Han, G.J. Wagner, and W.K. Liu, Convergence analysis of a hierarchical enrichment of Dirichlet boundary condition in a meshfree method, International Journal for Numerical Methods in Engineering, Vol. 53 (2002), 1323-1336.
W. Han and X. Meng, On a meshfree method for singular problems, CMES: Computer Modeling in Engineering & Sciences, Vol. 3 (2002), 65-76.

W. Han, M. Shillor, and M. Sofonea, Variational and numerical analysis of a quasistatic viscoelastic problem with normal compliance, friction and damage, J. of Comp. and Applied Math., Vol. 137 (2001), 377--398.
J. Fernandez, W. Han, M. Sofonea, and J. Viano, Variational and numerical analysis of a frictionless contact problem for elastic--viscoplastic materials with internal state variable, The Quarterly Journal of Mechanics and Applied Mathematics, Vol. 54 (2001), 501--522.
W. Han and M. Sofonea, Time-dependent variational inequalities for viscoelastic contact problems, J. of Comp. and Applied Math., Vol. 136 (2001), 369--387.
J. Chen, W. Han, and M. Sofonea, Numerical analysis of a contact problem in rate-type viscoplasticity, Numerical Functional Analysis and Optimization, Vol. 22 (2001), 505--527.
O. Chau, W. Han, and M. Sofonea, Analysis and approximation of a viscoelastic contact problem with slip dependent friction, Dynamics of Continuous, Discrete and Impulsive Systems, Vol. 8 (2001), 153--174.
J. Fern\'andez, W. Han, M. Shillor, and M. Sofonea, Numerical analysis and simulations of quasistatic frictionless contact problems, International Journal of Applied Mathematics and Computer Science (Special Issue: Mathematical Theory of Networks and Systems), Vol. 11 (2001), 205--222.
W. Han and X. Meng, Error analysis of the Reproducing Kernel Particle Method, Computer Methods in Applied Mechanics and Engineering, Vol. 190 (2001), 6157--6181.

J. Chen, W. Han, and M. Sofonea, Numerical analysis of a class of evolution systems arising in viscoplasticity, Computational and Applied Mathematics, Vol. 19 (2000), 279--306.
J. Chen, W. Han, and M. Sofonea, Numerical analysis of a quasistatic problem of sliding frictional contact with wear, Methods and Applications of Analysis, Vol. 7 (2000), 687--704.
W. Han and B.D. Reddy, Convergence of approximations to the primal problem in plasticity under conditions of minimal regularity, Numerische Mathematik, Vol. 87 (2000), 283--315.
J. Chen, W. Han, and M. Sofonea, Numerical analysis of a class of evolution systems with applications in viscoplasticity, SIAM Journal on Numerical Analysis, Vol. 38 (2000), 1171--1199.
W. Han and M. Sofonea, Numerical analysis of a frictionless contact problem for elastic-viscoplastic materials, Computer Methods in Applied Mechanics and Engineering, Vol. 190 (2000), 179--191.
O. Chau, E.H. Essoufi, W. Han and M. Sofonea, Dynamic frictionless contact problems with normal compliance, International Journal of Differential Equations and Applications, Vol. 1 (2000), 335--361.
W. Han and M. Sofonea, Evolutionary variational inequalities arising in viscoelastic contact problems, SIAM Journal on Numerical Analysis, Vol. 38 (2000), 556--579.

W. Han and M. Sofonea, Analysis and numerical approximation of an elastic frictional contact problem with normal compliance, Applicationes Mathematicae, Vol. 26 (1999), 415--435.
W. Han and B.D. Reddy, Convergence analysis of discrete approximations of problems in hardening plasticity, Computer Methods in Applied Mechanics and Engineering, Vol. 171 (1999), 327--340.
W. Han, Error analysis of numerical solutions for a cyclic plasticity problem, Computational Mechanics, Vol. 23 (1999), 33--38.
G. Wang and W. Han, Minimum error bound of signal reconstruction, IEEE Signal Processing Letters, Vol. 6 (1999), 309--311.

J. Chen, W. Han, and H. Huang, On the Kacanov method for a quasi-Newtonian flow problem, Numerical Functional Analysis and Optimization, Vol. 19 (1998), 961--970.

W. Han, S. Jensen, and I. Shimansky, The Kacanov method for some nonlinear problems, Applied Numerical Mathematics, Vol. 24 (1997), 57--79.
W. Han, S. Jensen, and B.D. Reddy, Numerical approximations of internal variable problems in plasticity: error analysis and solution algorithms, Numerical Linear Algebra with Applications (Special Issue on Plasticity), Vol. 4 (1997), 191--204.
W. Han, B.D. Reddy, and G.C. Schroeder, Qualitative and numerical analysis of quasistatic problems in elastoplasticity, SIAM Journal on Numerical Analysis, Vol. 34 (1997), 143--177.
W. Han and H. Huang, Quantitative justification of linearization in nonlinear Hencky material problems, Numerical Functional Analysis and Optimization, Vol. 18 (1997), 325--341.
X. Cheng, W. Han, and H. Huang, Finite element method for Timoshenko beam, circular arch and Reissner-Mindlin plate problems, Journal of Computational and Applied Mathematics, Vol. 79 (1997), 215--234.
J.S. Chen, W. Han, C. Wu, and W. Duan, On the perturbed Lagrangian formulation for nearly incompressible and incompressible hyperelasticity, Computer Methods in Applied Mechanics and Engineering, Vol. 142 (1997), 335--351.
H. Huang, W. Han, and J. Zhou, Extrapolation of numerical solutions for elliptic problems on corner domains, Applied Mathematics and Computation, Vol. 83 (1997), 53--67.

W. Han and S. Jensen, The Kacanov method for a nonlinear variational inequality of the second kind arising in elastoplasticity, Chinese Annals of Mathematics, Vol. 17B (1996), 129--138.
W. Han, On the numerical approximation of a frictional contact problem with normal compliance, Numerical Functional Analysis and Optimization, Vol. 17 (1996), 307--321.
J. Chen, W. Han, and F. Schulz, An asymptotic regularization method for coefficient identification of a generalized nonhomogeneous Helmholtz equation, Japan Journal of Industrial and Applied Mathematics, Vol. 13 (1996), 51--61.

W. Han and B.D. Reddy, On the finite element method for mixed variational inequalities arising in elastoplasticity, SIAM Journal on Numerical Analysis, Vol. 32 (1995), 1778--1807.
W. Han and J. Zhou, Quantitative justification of simplifications in some heat conduction problems, Journal of Computational and Applied Mathematics, Vol. 62 (1995), 75--88.
W. Han and S. Jensen, On the sharpness of L^2-error estimates of H^1_0-projections onto piecewise high order polynomial subspaces, Mathematics of Computation, Vol. 64 (1995), 51--70.

W. Han, Computable error estimates for linearization and numerical solution of obstacle problems, Journal of Computational and Applied Mathematics,, Vol. 55 (1994), 69--79.
H. Huang, W. Han, and J. Zhou, The regularization method for an obstacle problem, Numer. Math., Vol. 69 (1994), 155--166.
W. Han, Existence, uniqueness and smoothness results for second-kind Volterra equations with weakly singular kernels, Journal of Integral Equations and Applications, Vol. 6 (1994), 365--384.
J. Chen, W. Han, and F. Schulz, A regularization method for coefficient identification for a non-homogeneous Helmholtz equation, Inverse Problems, Vol. 10 (1994), 1115--1121.
W. Han, Quantitative error estimates for idealizations in linear elliptic problems, Mathematical Methods in the Applied Sciences, Vol. 17 (1994), 971--987.
W. Han and J. Zhou, A posteriori error analysis for material idealizations in modeling one-dimensional elastostatic problems, Numerical Functional Analysis and Optimization, Vol. 15 (1994), 621--634.
W. Han, A posteriori error analysis for linearizations of nonlinear elliptic problems and their discretizations, Mathematical Methods in the Applied Sciences, Vol. 17 (1994), 487--508.
W. Han, Notes on best constants in some Sobolev's inequalities, Analysis Mathematica, Vol. 20 (1994), 3--10.

W. Han and F. Potra, Convergence acceleration for some root-finding methods, in Validation Numerics Theory and Applications, Computing, Suppl. 9, eds. R. Albrecht, G. Alefeld and H.J. Stetter, Springer-Verlag, Wien, New York (1993), 67--78.
W. Han, Asymptotic error estimates for perturbations of linear elliptic problems on nonsmooth domains, Mathematical and Computer Modelling An International Journal, Vol. 17 (1993), No. 1, 65--75.

W. Han, Finite element analysis of a holonomic elastic-plastic problem, Numer. Math., Vol. 60 (1992), 493--508.
W. Han, The p-version penalty finite element method, IMA Journal of Numerical Analysis 12 (1992), 47-56.
W. Han, The best constant in a trace inequality, Journal of Mathematical Analysis and Applications, Vol. 163 (1992), 512--520.
W. Han, Quantitative error estimates in modeling the laminar stationary flow of a Bingham fluid, Applied Mathematics and Computation, Vol. 47 (1992), 15--24.
W. Han and E. Jou, On the computation of minimal-energy splines: convergence analysis, Applied Mathematics and Computation, Vol. 47 (1992), 1--13.

W. Han, Quantitative error estimates for material idealization of torsion problems, Mathematical and Computer Modelling: An International Journal, Vol. 15 (1991), No. 9, 47--54.
W. Han, A regularization procedure for a simplified friction problem, Mathematical and Computer Modelling: An International Journal, Vol. 15 (1991), No. 8, 65--70.
W. Han, The best constant in a Sobolev inequality, Applicable Analysis An International Journal, Vol. 41 (1991), 203--208.
W. Han, A note on a relaxation Schwarz Alternating Method, Journal of Computational and Applied Mathematics, Vol. 34 (1991), 125--130.

E. Jou and W. Han, Minimal-energy splines (I), Mathematical Methods in the Applied Sciences, Vol. 13 (1990), 351--372.
W. Han, The best constant in a trace inequality in H1, Numerical Functional Analysis and Optimization, Vol. 11 (1990), 763--768.

W. E, H. Huang, and W. Han, Error analysis of local refinements of polygonal domains, Journal of Computational Mathematics, Vol. 5 (1987), 89--94.

H. Huang, M. Mu, and W. Han, Asymptotic expansion for numerical solution of a less regular problem in a rectangle, Numerica Sinica, Vol. 8 (1986), 217--224.